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blondinia [14]
3 years ago
13

(25 points) A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent

the number of days the crew has worked. Suppose that x and y are related by the equation 2x +54 = y.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.

What is the change per day in the road's length? ___ miles
What was the road's length when the crew started working? ____ miles
Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

L=193

Step-by-step explanation:

Initial length of the road =57mi

L= Total length

D=number of days worked

Number of miles added in 1 day= 4mi

Therefore,

L=57+D*4

After 34 days,

L=57+(34*4)

L=193mi

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3 years ago
A metallurgist has one alloy containing 45% copper and another containing 69% copper. How many pounds of each alloy must be use
lakkis [162]

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:

x + y = 42   (1)

Also:

0.45x + 0.69y = 42(0.66)   (2)

This gives:

x = 5.25, y = 36.75

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

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8 0
2 years ago
John weighs three times as much as Karen. Two times John's weight plus Karen's weight is 875 pounds. How much does John weigh? H
Leokris [45]

Answer:

John- 375

Karen- 125

Step-by-step explanation:

Answer 1...

j =3k

2j + k = 875

substituting the first eqn into the 2nd

2(3k) + k = 875

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3 0
2 years ago
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They are the same angle and on opposite sides of the parallelogram
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3 years ago
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